Skip to main content
  • Book
  • © 2008

Advances in Mathematical and Statistical Modeling

Birkhäuser
  • Contributors are prominent, distinguished, and well-respected researchers in the field of mathematical and statistical modeling
  • Real-world applications to safety, reliability, life-testing, financial modeling, quality control, general inference, economics, engineering, as well as neural networks and computational techniques
  • Good reference work for practitioners, researchers, and graduate students in statistics, applied mathematics, engineering, economics, and modeling
  • Includes supplementary material: sn.pub/extras

Part of the book series: Statistics for Industry and Technology (SIT)

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (28 chapters)

  1. Front Matter

    Pages 1-30
  2. Distribution Theory and Applications

    1. Front Matter

      Pages 1-1
    2. The Polygonal Distribution

      • Dimitris Karlis, Evdokia Xekalaki
      Pages 21-33
    3. Conditionally Specified Models: New Developments and Applications

      • José María Sarabia, María Sarabia, Marta Pascual
      Pages 35-43
    4. Modelling of Insurance Claim Count with Hurdle Distribution for Panel Data

      • Jean-Philippe Boucher, Michel Denuit, Montserrat Guillén
      Pages 45-59
  3. Probability and Statistics

    1. Front Matter

      Pages 1-1
    2. Empirical Bayes Assessment of the Hyperparameters in Bayesian

      • S. James Press, Key-II Shin, Lee Sang Eun
      Pages 75-85
  4. Order Statistics and Analysis

    1. Front Matter

      Pages 1-1
    2. Negative Mixtures Order Statistics and Systems

      • Jorge Navarro, Pedro J. Hernández
      Pages 89-100
    3. Models of Ordered Data and Products of Beta Random Variables

      • Eric Beutner, Udo Kamps
      Pages 101-106
  5. Engineering Modeling

    1. Front Matter

      Pages 1-1
    2. Non Gaussian State Estimation in Power Systems

      • Roberto MíDnguez, Antonio J. Conejo, Ali S. Hadi
      Pages 141-156
    3. Statistics Applied to Wave Climate on a Beach Profile

      • Carmen Castillo, Cristina Solares
      Pages 157-168
  6. Extreme Value Theory

    1. Front Matter

      Pages 1-1
    2. Ratio of Maximum to the Sum for Testing Super Heavy Tails

      • Cláudia Neves, Isabel Fraga Alves
      Pages 181-194
    3. Tail Behaviour An Empirical Study

      • M. Ivette Gomes, Dinis Pestana, Lígia Rodrigues, Clara Viseu
      Pages 195-207

About this book

Enrique Castillo is a leading figure in several mathematical and engineering fields, having contributed seminal work in such areas as statistical modeling, extreme value analysis, multivariate distribution theory, Bayesian networks, neural networks, functional equations, artificial intelligence, linear algebra, optimization methods, numerical methods, reliability engineering, as well as sensitivity analysis and its applications. Organized to honor Castillo’s significant contributions, this volume is an outgrowth of the "International Conference on Mathematical and Statistical Modeling," and covers recent advances in the field.

Applications to safety, reliability and life-testing, financial modeling, quality control, general inference, as well as neural networks and computational techniques are presented. The book is divided into nine major sections, which include distribution theory and applications, probability and statistics, order statistics and analysis, engineering modeling, extreme value theory, business and economics applications, statistical methods, applied mathematics, and discrete distributions.

This comprehensive reference work will appeal to a diverse audience from the statistical, applied mathematics, engineering, and economics communities. Practitioners, researchers, and graduate students in mathematical and statistical modeling, optimization, and computing will benefit from this work.

Reviews

From the reviews:

“This book is a Festschrift in honor of Professor Enrique Castillo. … The book’s coverage is quite broad, as are Professor Castillo’s interests. The book should be a good addition to any library.” (David E. Booth, Technometrics, Vol. 51 (3), August, 2009)

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access